Question

Which expressions are equal to 9/41. If u answer I’ll give you best brainliest

Answer 1

Option a: Sin F equal to $\frac{9}{41}$

Option e: Cos G equal to $\frac{9}{41}$

Explanation:

Option a : Sin F

Let us determine the value of Sin F from the right triangle.

The formula for Sin F is $\sin F=\frac{o p p}{h y p}$

Thus, substituting the values, we get,

$\begin{aligned}\sin F &=\frac{o p p}{h y p} \\&=\frac{H G}{F G} \\&=\frac{9}{41}\end{aligned}$

Hence, $\begin{aligned}\sin F &=\frac{9}{41}\end{aligned}$ which is equal to $\frac{9}{41}$

Hence, Option a is the correct answer.

Option b : Cos F

The formula to determine the value of Cos F is $\cos F=\frac{a d j}{h y p}$

Thus, substituting the values, we get,

$\begin{aligned}\cos F &=\frac{a d j}{h y p} \\&=\frac{F H}{F G} \\&=\frac{40}{41}\end{aligned}$

Hence, $\begin{aligned}\cos F &=\frac{40}{41}\end{aligned}$ which is not equal to $\frac{9}{41}$

Hence, Option b is not the correct answer.

Option c: tan F

The formula to determine the value of tan F is $\tan F=\frac{o p p}{a d j}$

Thus, substituting the values, we get,

$\begin{aligned}\tan F &=\frac{o p p}{a d j} \\&=\frac{F H}{H G} \\&=\frac{9}{40}\end{aligned}$

Hence, $\begin{aligned}\tan F &=\frac{9}{40}\end{aligned}$ which is not equal to $\frac{9}{41}$

Hence, Option c is not the correct answer.

Option d : Sin G

The formula to determine the value of Sin G is $\sin G=\frac{o p p}{h y p}$

Thus, substituting the values, we get,

$\begin{aligned}\sin G &=\frac{o p p}{h y p} \\&=\frac{FH }{F G} \\&=\frac{40}{41}\end{aligned}$

Hence, $\begin{aligned}\sin G &=\frac{40}{41}\end{aligned}$ which is not equal to $\frac{9}{41}$

Hence, Option d is not the correct answer.

Option e : Cos G

The formula to determine the value of Cos G is $\cos G=\frac{a d j}{h y p}$

Thus, substituting the values, we get,

$\begin{aligned}\cos G &=\frac{a d j}{h y p} \\&=\frac{HG}{F G} \\&=\frac{9}{41}\end{aligned}$

Hence, $\begin{aligned}\cos F &=\frac{40}{41}\end{aligned}$ which is equal to $\frac{9}{41}$

Hence, Option e is the correct answer.

Option f : tan G

The formula to determine the value of tan G is $\tan G=\frac{o p p}{a d j}$

Thus, substituting the values, we get,

$\begin{aligned}\tan G &=\frac{o p p}{a d j} \\&=\frac{F H}{H G} \\&=\frac{40}{9}\end{aligned}$

Hence, $\begin{aligned}\tan G &=\frac{40}{9}\end{aligned}$ which is not equal to $\frac{9}{41}$

Hence, Option f is not the correct answer.

Thus, the expression which is equal to $\frac{9}{41}$ is Sin F and Cos G